2. Two regression models estimating the marks scored by students in the final year of their Masters Program are detailed below: E(Marks in Final Exam) = 69.22 +23.3(Attendance Rate) + 14.6(PE) R= 0.57 (Model 1) (0.10) (0.05) E(Marks in Final Exam) = 63.82 + 20.2 (Attendance Rate) + 12.6(PE) - 14.8(EE) (0.00) (0.05) (0.10) (0.05) R= 0.66 (Model 2) (Figures in brackets represent P values). Attendance rate refers to the percentage of classes attended by a student in the final year. PE and EE refer to the marks obtained in the previous year and the marks obtained in the entrance exam for admission into the course respectively. Interpret the signs and significance of all the independent variables in Model 2. What information can you derive from the R? values of both the models? Can the R'of Model 1 be greater than that of Model 2? Why or Why not? Use a F test to decide which model is preferable. Number of observations is 400. (Conduct the required tests at a 5% level of significance).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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2. Two regression models estimating the marks scored by students in the final year of their
Masters Program are detailed below:
E(Marks in Final Exam) = 69.22 +23.3(Attendance Rate) + 14.6(PE) R= 0.57 (Model 1)
(0.10) (0.05)
E(Marks in Final Exam) = 63.82 + 20.2 (Attendance Rate) + 12.6(PE) - 14.8(EE)
(0.00) (0.05)
(0.10)
(0.05)
R= 0.66
(Model 2)
(Figures in brackets represent P values). Attendance rate refers to the percentage of classes
attended by a student in the final year. PE and EE refer to the marks obtained in the previous
year and the marks obtained in the entrance exam for admission into the course respectively.
Interpret the signs and significance of all the independent variables in Model 2. What
information can you derive from the R? values of both the models? Can the R'of Model 1 be
greater than that of Model 2? Why or Why not? Use a F test to decide which model is
preferable. Number of observations is 400. (Conduct the required tests at a 5% level of
significance).
Transcribed Image Text:2. Two regression models estimating the marks scored by students in the final year of their Masters Program are detailed below: E(Marks in Final Exam) = 69.22 +23.3(Attendance Rate) + 14.6(PE) R= 0.57 (Model 1) (0.10) (0.05) E(Marks in Final Exam) = 63.82 + 20.2 (Attendance Rate) + 12.6(PE) - 14.8(EE) (0.00) (0.05) (0.10) (0.05) R= 0.66 (Model 2) (Figures in brackets represent P values). Attendance rate refers to the percentage of classes attended by a student in the final year. PE and EE refer to the marks obtained in the previous year and the marks obtained in the entrance exam for admission into the course respectively. Interpret the signs and significance of all the independent variables in Model 2. What information can you derive from the R? values of both the models? Can the R'of Model 1 be greater than that of Model 2? Why or Why not? Use a F test to decide which model is preferable. Number of observations is 400. (Conduct the required tests at a 5% level of significance).
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